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Finding the Fourth Proportional to 2,309.89, 3,465.08 and 749.83

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Solution

The fourth proportional to 2,309.89, 3,465.08 and 749.83 is: 1,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.89 : 3,465.08 = 749.83 : x
  2. Step 2: Convert to fraction form
    2,309.89/3,465.08 = 749.83/x
  3. Step 3: Cross multiply
    2,309.89x = 3,465.08 × 749.83
  4. Step 4: Simplify right side
    2,309.89x = 2,598,227.58
  5. Step 5: Solve for x
    x = 2,598,227.58/2,309.89
  6. Step 6: Final answer
    x = 1,124.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.